4534129152 has 360 divisors, whose sum is σ = 15609621456. Its totient is φ = 1262628864.

The previous prime is 4534129141. The next prime is 4534129157. The reversal of 4534129152 is 2519214354.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4534129157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9708823 + ... + 9709289.

Almost surely, 2^4534129152 is an apocalyptic number.

4534129152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4534129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804810728).

4534129152 is an abundant number, since it is smaller than the sum of its proper divisors (11075492304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4534129152 is a wasteful number, since it uses less digits than its factorization.

4534129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 522 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 4534129152 is about 67335.9424973023. The cubic root of 4534129152 is about 1655.1268939435.

The spelling of 4534129152 in words is "four billion, five hundred thirty-four million, one hundred twenty-nine thousand, one hundred fifty-two".